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The Taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 7 km, the charge is Rs. 27 and for a distance of 5 km, the charge is Rs. 21. What is the charge per km?
An O16 nucleus is spherical and has a charge radius R and a volume $${\text{V}} = \frac{4}{3}\pi {{\text{R}}^3}.$$   According to the empirical observations of the charge radii, the volume of the 54128Xe nucleus assumed to be spherical is
A candidate takes a test and attempts all the 100 questions in it. While any correct answer fetches 1 mark, the wrong answers are penalised as follows; one-tenth of the questions carry 1/10 negative marks each, one-fifth of the questions carry 1/5 negative marks each and the rest of the questions carry 1⁄2 a negative mark each. Unattempted questions carry no marks. What is the difference between the maximum and the minimum marks that he can score? 
The addition of two binary variables A and B results in a SUM and a CARRY output. Consider the following expressions for SUM and CARRY outputs. (a) SUM \( = A \cdot B + \;\overline {AB} \) (b) SUM = A⋅B̅ + A̅ ⋅ B (c) CARRY = A⋅B (d) CARRY = A + B Which of the following expressions are correct?
Consider a nucleus with N neutrons and Z protons. If mp, mn and BE represents the mass of the proton, the mass of the neutron and the binding energy of the nucleus respectively and c is the velocity of light in free space, the mass of the nucleus is given by
Consider the following statements regarding double fertilization and choose the correct answer:
1. At the time of the sperm's approach to the egg nucleus, the male nucleus has the appearance of a continuous thread rolled into a ball
2. It is only the presence of the two nucleoli which serves to distinguish the fertilized egg from the unfertilized egg
3. Finally, the male nucleolus increases in size and fuses with the female nucleolus thus closing the phenomenon of sexual union of the nuclei
4. The fusion of the male gamete with the secondary nucleus results in the formation of a sister embryo
Study the following statements.
1. Control room of the cell is Nucleus.
2. Nucleus was discovered by Robert Brown.
3. Nuclear envelope is absent in bacteria.
Which of the statement(s) given above is/are correct about nucleus?
Which among the following are properties of charge? (a) Charge is additive. (b) Charge is quantized. (c)  Charge is conserved. 
Below are given four statements followed by four conclusions. You have to take the given statements to be true even if they appear to be at variance with commonly known facts, and then decide which of conclusions logically follows from the given statements. For each question, mark out an appropriate answer choice that you think is correct. Statements: Some kind are intelligent. Some cruel are kind. All cruel are people. No people is an animal. Conclusions: I. No cruel is an animal. II. Some kind are not an animal. III. Some kind are not intelligent. IV. All animals are intelligent.
In the question below, are given a statement followed by three courses of actions numbered I, II and III. On the basis of the information given, you have to assume everything in the statement to be true, and then decide which of the suggested courses of action logically follow(s) for pursuing. Statement: Soon you would not need to carry original copies of all vehicle papers like driving licence, vehicle registration certificate, insurance, pollution certificate or the permits issued to commercial vehicles with you. According to a ToI report, the Centre plans to amend Motor Vehicles Rules to make it legal for any citizen to carry digital vehicle documents and simultaneously making it compulsory for traffic police to accept digital version of documents. This means that you would not have to carry physical papers in your vehicle as digital copies of the certificates would be valid.  Courses of action: I. The ministry has proposed installation of FASTags on the front windscreens. FASTag is a device that uses radio frequency identification (RFID) technology for making toll payments directly from the user account.  II. To avail the facility, one has to store all the vehicle documents on the government's cloud-based service DigiLocker and when asked he/she can simply display the stored certificates on a smartphone or any other digital devices. These digital copies can be shared with other departments as identity and address proof.  III. The government has increased the maximum load carrying capacity of heavy vehicles, including trucks, by 20-25 per cent besides scrapping the mandatory annual renewal of fitness certificates for freight carriers. Fitness certificates for trucks would now be renewed in every two years not annually.  Which of the following course/courses of action can be said to be said to be a rudimentary course/courses of action?